@Gunman You would keep your personal Wealth, Political Capital and also investments, along with anything you personally owned like ships or similar, depending upon circumstances you could keep your flagship and all assigned officers, or you could end up arriving at your new position in a shuttle and have to re-recruit anyone you want to keep.
Of course the circumstances under which you might be moved to a new job are still entirely up in the air. You might be promoted and placed in command of a grand fleet to wage a massive offensive, or placed in overall command of the entire NASP border, or get hired out of the navy by a ducal house who wants to overthrow the Imperial House and wants the best possible commander.
Or you might be shuffled into commanding a six battleship squadron around the capital that does not move apart from a twice a year parade.
Or you could be condemned as a criminal and flee with a handful of your most loyal officers and stolen ships to become a pirate lord if things go completely off the rails.